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If F :R to R satisfies f(x +y ) =f...

If F `:R to R ` satisfies ` f(x +y ) =f(x) + f(y)` for all ` x ,y in R` and f (1) =7 , then ` sum_(r=1)^(n)` f(R ) is

A

`(7(n+1))/(2)`

B

`(7n(n+1)`

C

`(7n (n+1))/(2)`

D

`(7n)/(2)`

Text Solution

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The correct Answer is:
C
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